Coherent Sheaves on Singular Projective Curves with Nodal Singularities

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dc.creatorBurban, I.
dc.creatorDrozd, Yu.
dc.date2001-01-17
dc.date.accessioned2026-07-07T04:39:41Z
dc.date.available2026-07-07T04:39:41Z
dc.descriptionWe give the full answer to the question: on which curves the category of coherent sheaves $\Coh_{X}$ is tame. The answer is: these are just the curves from the list of Drozd-Greuel. Moreover, in this case the derived category $D^{-}(\Coh_{X})$ is also tame. We give an explicit description of the objects of this category as well as of the categories $D^{b}(\Coh_{X})$, $\Coh_{X}$. Among the coherent sheaves we describe the vector bundles, torsion-free sheaves, mixed sheaves and skyscraper sheaves.
dc.description21 page, 17 figures
dc.identifierhttps://arxiv.org/abs/math/0101140
dc.identifierhttp://arxiv.org/abs/math/0101140
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60771
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.titleCoherent Sheaves on Singular Projective Curves with Nodal Singularities
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